# Bijection between reals and irrationals

1. Homework Statement

Prove that |R \ |Q ~ |R ... the irrationals are equinumerous to the reals

2. Homework Equations

3. The Attempt at a Solution

I can prove it using the Cantor Schroeder Bernstein theorem, but i was wondering if there
is a clever way of constructing the bijection explicitely ...
thanks,
g.
1. Homework Statement

2. Homework Equations

3. The Attempt at a Solution